I know the committee has to set up the bracket so conference teams can't play each other until the sweet 16 at the earliest. Does the same apply for non-conference teams who played each other during the season? I feel like I remember round of 64 rematches in the past but I may be wrong.
Per the NCAA's Principles and Procedures
"If possible, rematches of non-conference regular-season games should be avoided in the First Four and first round."